Question 8:

What rational expression should be subtracted from
$\frac{2x^2+2x-7}{x^2+x-6}$ to get $\frac{x-1}{x-2}$
Let $A$ be the required expression.
$\begin{align} \frac{2x^2+2x-7}{x^2+x-6}-A&=\frac{x-1}{x-2}\end{align}$